I go so far as to make sure my window is rolled down before I come to a stop,and when the cop approaches my car BOTH of my hands are wrapped around the top of the steering wheel in plain sight and close enough to touch each other. I am also looking straight ahead and don't even turn my head until the cop is standing beside my door and says something to me. The FIRST thing I tell him then is that I am armed and have a CCW permit,and THEN I tell him I have to undo my seat belt/shoulder harness to get my drivers license and CCW permit out of my pocket,and make damn sure he says "ok" before I make a move.
For me,it's different Normally, if I am packing (on me), it's my utility belt for when I go out in the woods... It's got 2 big knives, a 1911 .45, an ulu, and a tomahawk, not to mention other less threatening items... It's all utility for me, but I can understand that it's a substantial threat to them. With that much hardware on me, especially with the kabar hanging upside down on the left suspender, I'm a threat, even with my hands on the wheel...
I know most of the deputies and wardens (even more so now, as my kid is a LEO). If I know him, I'll just get out, disarm in full view (I mean unbuckle the belt, slip out of the suspenders), and throw it on the gun rack as I go dig out my paper... If I don't know him, I'll get out, keeping my hands well clear, and ask him how he wants to 'do this'.
Normally they just request that I get out of the belt, which I do deliberately, and then hang it on the truck mirror or the gun rack, and step away. Sometimes it's 'up against the wall' and they disarm me. Whatever makes them comfortable.
Same with a warden out in the woods - As I see them coming, I'll deliberately unload the carbine, take off my gear, hang it on a tree and step away...
I gotta be honest here. I am pretty sure that doing the above has gotten me a pass on a couple of speeding tickets. Cops don't like surprises and getting scared any more than you or I like them.
Yeah, I seldom get a ticket anymore... In my youth it was a different story, but even then, when I was doing a lot of business with the Sheriff's office and judges, The relationship was generally amicable.
But I also admit that it's probably way different here than in suburbia. Most everyone up here is armed, and guns are still very much just part of living. Every redneck or hillbilly is likely (read guaranteed) to have weapons, so I'd imagine the cops are more used to that armed citizenry. Maybe that's the difference.
And it isn't just cops, btw... Walk up on a mountain cabin without a holler and your carbine lever or bolt action open, and see what you get. It's just polite to disarm yourself walking up on another man's house. I may have the right, but so does he, and it's his castle he's defending.
Sometimes RTKBA 2nd amendment types can be too over-wound - With gun culture being restored in a lot of places, the manners that go with it may not be there as they once were.